The distance an object travels is determined by how fast it goes and for how long it moves. If an object’s speed remains constant, the formula is d = r • t, where d is the distance, r is the speed, and t is the time.
If you drive at 50 miles per hour for 5 hours, how far will you have traveled?
a. 200 miles
b. 10 miles
c. 250 miles
d. 300 miles
Answers
Related Questions
Is the following an example of a simile, metaphor, or personification?
will give brainliest if you explain
I feel like a million bucks.
metaphor
simile
personification
Answers
Answer:
Simile
Step-by-step explanation:
Metaphor: A comparison of two things without the use of “like” or “as”
Simile: A comparison of two things using “like” or “as”
Personification: Giving human qualities to non-human things
Find the percent of change . Explain the steps, then solve in give your answers
Answers
well, first off let's get the difference from 66 million to 8000, 66,000,000 - 8000 = 65992000.
Now, if we take the latter number to be the 100%, say if 8000 is 100%, how much is 65992000 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 8000&100\\ 65992000&x \end{array}\implies \cfrac{8000}{65992000}=\cfrac{100}{x}\implies \cfrac{1}{8249}=\cfrac{100}{x} \implies x = 824900\)
or namely 65992000 is 824,900% of 8000.
A manufacturing machine has a 10% defect rate. If 3 items are chosen at random, what is the probability that at least one will have a defect
Answers
Answer:
0.271 = 27.1% probability that at least one will have a defect
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they have a defect, or they do not. Items are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
A manufacturing machine has a 10% defect rate.
This means that \(p = 0.1\)
3 items are chosen at random
This means that \(n = 3\)
What is the probability that at least one will have a defect?
This is
\(P(X \geq 1) = 1 - P(X = 0)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{3,0}.(0.1)^{0}.(0.9)^{3} = 0.729\)
\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.729 = 0.271\)
0.271 = 27.1% probability that at least one will have a defect
In a bag full of candy, for every 8 pieces, 5 of them are gum. There are 20 pieces of gum. We want to find the total number of pieces of candy, c.
Answers
Answer:
32
Step-by-step explanation:
Since there are 20 total pieces of gum, we divide 20 by 5 to figure out how many groups of 8 pieces of candy there are (For every 8, 5 are gum). This gives us 4 groups of 8. Because for every 8 pieces, 5 are gum, we subtract 5 from 8 and get three. Multiply 3 by 4 (the number of groups), and we get 12 other pieces of candy. Add to 20, and we get 32. To check, divide 32 by the number of groups (4) and we get 8, which is how many pieces of candy are in each group.
devide 255 in the ratio 3:7:7:10
Answers
Answer:5
Step-by-step explanation:
5098
Which of the following is Playfair's axiom?
A. A straight line segment can be drawn between any two points.
B. A circle can be drawn with any center and radius.
C. Through a given point not on a given line, there is exactly one line
parallel to the given line.
D. All right angles are equal to one another.
Answers
Answer:
C. Through a given point not on a given line, there is exactly one line parallel to the given line.
Step-by-step explanation:
hope i helped
Answer:
Look down
Step-by-step explanation:
Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Answers
Answer:
Step-by-step explanation:
xhxj
3/4 subtracted from 1/3
Answers
Answer:
-5/12
Step-by-step explanation:
Convert to twelfths. Then subtract.
Change 3/4 to 9/12 and 1/3 to 4/12.
4/12 - 9/12 = -5/12
3,6,11,18,27,38
I know the pattern is something like +3, +3+2, 3+4...etc but how do I write that to show the pattern? or do I just put that?
Answers
Answer: The pattern is x^2+2
where x is the term number
Example: the 5th term is 27 because x = 5 leads to x^2+2 = 5^2+2 = 27
=================================================
Explanation:
The jump from 3 to 6 is +3The jump from 6 to 11 is +5The jump from 11 to 18 is +7The jump from 18 to 27 is +9The jump from 27 to 38 is +11The pattern of jumps is: 3, 5, 7, 9, 11
Those increments are going up by 2 each time.
Since we have a consistent pattern of increments, this means that the sequence follows a quadratic model.
Quadratics are stuff like x^2+7x+10 or 3x^2-7. The leading term has an exponent of 2.
-----------
If x is the term number and y is the term itself, then we have these points
(1,3)
(2,6)
(3,11)
(4,18)
(5,27)
(6,38)
The x coordinates increase by 1 each time. The y coordinates are the terms given by your teacher.
Pick exactly 3 of those points. I'll pick the first 3.
Why 3? Because we'll have 3 unknowns to solve for, in which we'll need 3 equations.
Plug (x,y) = (1,3) into y = ax^2+bx+c, then simplify. You should get the equation a+b+c = 3Repeat for (x,y) = (2,6) and you should get 4a+2b+c = 6Repeat for (x,y) = (3,11) and you should get 9a+3b+c = 11-----------
We have this system of equations
\(\begin{cases}a+b+c = 3\\ 4a+2b+c = 6\\9a+3b+c = 11\end{cases}\)
There are a number of methods to solve this system. Substitution is what I'll go for.
Solve the first equation for c
a+b+c = 3
c = 3-a-b
Then use substitution.
4a+2b+c = 6
4a+2b+(3-a-b) = 6
3a+b+3 = 6
3a+b = 6-3
3a+b = 3
and
9a+3b+c = 11
9a+3b+(3-a-b) = 11
8a+2b + 3 = 11
8a+2b = 11-3
8a+2b = 8
We now have this reduced system of equations.
\(\begin{cases}3a+b = 3\\8a+2b = 8\end{cases}\)
I'll skip the steps as this solution is getting very lengthy as it is. The basic idea is to use substitution again. You should find that a = 1 and b = 0 form the solution set here.
Use those values to find c
c = 3-a-b
c = 3-1-0
c = 2
-----------
To summarize the previous section, we have these solutions:
a = 1, b = 0, c = 2
Therefore the equation y = ax^2+bx+c becomes y = 1x^2+0x+2 aka y = x^2+2. This lets us find any term.
Let's test it out.
If x = 1, then y = x^2+2 = 1^2+2 = 3If x = 2, then y = x^2+2 = 2^2+2 = 6If x = 3, then y = x^2+2 = 3^2+2 = 11And so on. I'll let you test the other x values (4 through 6).
Another way to confirm the answer is to subtract 2 from each item in the original set {3,6,11,18,27,38} and you'll end up with {1,4,9,16,25,36}. This is the list of perfect squares. It shows that term x is simply x^2 but add on 2 so things are adjusted accordingly.
Side note: you can use a tool like GeoGebra or WolframAlpha to quickly solve the system of equations. However, I recommend it only as a means to check your answer rather than do the work for you.
Function g is nonlinear and g(4) = 6. Which graph could represent function g?
Answers
The third graph represents the function g which is nonlinear and g(4) = 6.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that Function g is nonlinear and g(4) = 6.
A relation is a function if it has only one y-value for each x-value.
g(4) = 6.
The 4 is the input value and 6 is the output value.
(4, 6) is the ordered pair of the function g
Let us check the ordered pair (4, 6) which matches the graph.
The graph where a point touches at x = 4 and y =6 is the required graph
Hence, the third graph represents the function g which is nonlinear and g(4) = 6.
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Find the exact value of each of the following under the given conditions.
a. cosine left parenthesis alpha plus beta right parenthesis b. sine left parenthesis alpha plus beta right parenthesis c. tangent left parenthesis alpha plus beta right parenthesis
tangent alpha equals one half
, pi less than alpha less than StartFraction 3 pi Over 2 EndFraction
, and cosine beta equals three fifths
, StartFraction 3 pi Over 2 EndFraction less than beta less than 2 pi
Answers
Answer:
\((a)-\dfrac{11\sqrt{5}}{25} \\(b) -\dfrac{2\sqrt{5}}{25} \\(c)\dfrac{11}{2}\)
Step-by-step explanation:
\(\tan \alpha =\dfrac12, \pi < \alpha< \dfrac{3 \pi}{2}\)
Therefore:
\(\alpha$ is in Quadrant III\)
Opposite = -1
Adjacent =-2
Using Pythagoras Theorem
\(Hypotenuse^2=Opposite^2+Adjacent^2\\=(-1)^2+(-2)^2=5\\Hypotenuse=\sqrt{5}\)
Therefore:
\(\sin \alpha =-\dfrac{1}{\sqrt{5}}\\\cos \alpha =-\dfrac{2}{\sqrt{5}}\)
Similarly
\(\cos \beta =\dfrac35, \dfrac{3 \pi}{2}<\beta<2\pi\\\beta $ is in Quadrant IV (x is negative, y is positive), therefore:\\Adjacent=$-3\\$Hypotenuse=5\\Opposite=4 (Using Pythagoras Theorem)\)
\(\sin \beta =\dfrac{4}{5}\\\tan \beta =-\dfrac{4}{3}\)
(a)
\(\cos(\alpha + \beta)=\cos\alpha\cos\beta-\sin \alpha\sin \beta\\\)
\(=-\dfrac{2}{\sqrt{5}}\cdot \dfrac{3}{5}-(-\dfrac{1}{\sqrt{5}})(\dfrac{4}{5})\\=-\dfrac{2\sqrt{5}}{5}\cdot \dfrac{3}{5}+\dfrac{\sqrt{5}}{5}\cdot\dfrac{4}{5}\\=-\dfrac{2\sqrt{5}}{25}\)
(b)
\(\sin(\alpha + \beta)=\sin\alpha\cos\beta+\cos \alpha\sin \beta\)
\(\sin(\alpha + \beta)=\sin\alpha\cos\beta+\cos \alpha\sin \beta\\=-\dfrac{1}{\sqrt{5}}\cdot\dfrac35+(-\dfrac{2}{\sqrt{5}})(\dfrac{4}{5})\\=-\dfrac{\sqrt{5}}{5}\cdot\dfrac35-\dfrac{2\sqrt{5}}{5}\cdot\dfrac{4}{5}\\=-\dfrac{11\sqrt{5}}{25}\)
(c)
\(\tan(\alpha + \beta)=\dfrac{\sin(\alpha + \beta)}{\sin(\alpha + \beta)}=-\dfrac{11\sqrt{5}}{25} \div -\dfrac{2\sqrt{5}}{25} =\dfrac{11}{2}\)
How do I solve this and what is the answer
Answers
The unit circle is a circle with a radius of 1. Because of this, the coordinates of any point at this circle will correspond to (cosΘ, sinΘ). Where Θ is the given angle.
In this case, you have Θ=π/4
Then you need to find the values for sin(π/4) and cos(π/4) to find the point
First, let's convert π/4 into degrees
\(\frac{\pi}{4}\text{rad }\cdot\text{ }\frac{180\circ}{\pi\text{ rad}}=\frac{180}{4}=45\circ^{}\)Now imagine a right triangle with one of the acute angles set to 45°, the internal angles of a right triangle have to sum 180°, then if you have a 90° and a 45° angle, then the other one will be 180°-90°-45°=45°. Then you will have an isosceles triangle.
By setting the length of one of the sides adjacent to the right angle to
1 and applying the Pythagorean theorem, you'll find the length of the hypotenuse as follows:
\(\begin{gathered} a^2+b^2=h^2 \\ 1^2+1^2=h^2 \\ h=\sqrt[]{1^2+1^2}=\sqrt[]{2} \end{gathered}\)Then the cosine is given by:
\(\begin{gathered} \cos (45)=\frac{\text{adjacent}}{\text{hypotenuse}}=\frac{1}{\sqrt[]{2}}\text{ multiply the numerator and denominator by }\sqrt[\square]{2} \\ \cos (45)=\frac{1\cdot\sqrt[]{2}}{\sqrt[]{2}\cdot\sqrt[]{2}}=\frac{\sqrt[]{2}}{2} \end{gathered}\)Now you can find the sine by:
\(\begin{gathered} \sin (45)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{1}{\sqrt[]{2}}\text{ multiply the numerator and denominator by }\sqrt[\square]{2} \\ \sin (45)=\frac{1\cdot\sqrt[]{2}}{\sqrt[]{2}\cdot\sqrt[]{2}}=\frac{\sqrt[]{2}}{2} \end{gathered}\)Then the coordinates of the point will be (cos45, sin45) = (√2/2, √2/2)
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
Answers
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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During basic training Kevin learns how to read distances on a radar what should Kevin conclude is the distance around largest circle on the radar screen. Please help :(
Answers
Answer:
H) 63.585
Step-by-step explanation:
Using the graph, we can estimate that the radius is about 4.5 units.
Using the formula of finding area of a circle, pi x radius^2, we can substitude 4.5 as r and 3.14 as pi.
So, 4.5^2 x 3.14 is about 63.585 units.
someone help me with math :):
Which of the following is not an integer?
1. 0
2. 1\2
3. 9
4. -13
what number? 1,2,3, or 4?
Answers
Only whole numbers can be integers for future reference :)
Luca has a box of dog toys. There are 3 bones, 5 balls, and a stuffed animal. What is the ratio of bones to stuffed animals?
A.
9:3
B.
3:8
C.
3:1
D.
1:3
Answers
Answer:
C. 3:1
Step-by-step explanation:
Ive done this lesson before.
Answer:
C. 3:1
Step-by-step explanation:
They are only asking about the bones and the one stuffed animal. Also it is 3 nes to 1 stuffed animal, erefore 3:1
You must be at least 48 inches tall to ride an amusement park ride, and your little sister is 39 inches tall. How
many inches i must she grow before she may ride the ride?
Whats the inequality ?
Answers
Answer:
9
Step-by-step explanation:
48-39=9
Answer:
9
Step-by-step explanation:
person above me is correct
During December, Far Eas Services makes a credit sale of $2,800 (before sales taxes). The state sales tax rate is 6% and the local sales tax rate is 2.5%.
Record sales and sales tax payable.
Answers
The credit sale after state and local tax payable is 2562$.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
The credit sale before sales taxes = 2800$,
The rate of state sale tax = 6%,
And rate of local sale tax = 2.5%
The sale after state tax = 2800-2800×6/100=2800-168=2632,
The sale after local tax=2800-2800×2.5/100=2800-70=2730
The credit sale after state and local tax= 2800-168-70=2562.
The required credit sale =2562$.
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Please help, I'm not sure how to do this one!
The average teacher salary in a certain state is $52,300. If the standard deviation is $8,260, find the standard score for the following teacher salaries.
Teacher A: $56,236
Teacher B: $36,875
Answers
8 tenths + 34 hundredths
Answers
Answer:
1.14
Step-by-step explanation:
0.8+0.34
The solution of the given expression will be 1.14.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 8 tenths + 34 hundredths. The solution of the expression is,
E = 8/10 + 34 / 100
Solve the expression by the mathematical operation.
E = 0.8 + 0.34
E = 1.14
Therefore, the solution of the given expression will be 1.14.
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Q. The probability that a student passes a statistics test is 2/3 and the
probability that he passes both statistics and mathematics is
14/45. The probability that he passes at least one test is 4/5. What
is the probability that the student passes the mathematics test?
Answers
Answer:
4/9 or 44.44%
Step-by-step explanation:
We have the following probabilities:
Probability of winning the statistical test = P (s) = 2/3
Probability of winning the mathematics and statistics test = P (s n m) = 14/45
Probability of winning at least one test = P (s u m) = 4/5
We have that, the probability of winning the mathematics test P (m) can be found in the following way:
P (s n m) = P (s) + P (m) - P (s u m)
replacing we have:
14/45 = 2/3 + P (m) - 4/5
P (m) = 14/45 - 2/3 + 4/5
p (m) = 4/9 = 0.444
Which is the same as there is a 44.44% probability that I will win the math test
a) Use the triangle below to answer questions a) and b). B 10 cm A 14 cm Determine which interior angle of the triangle is the largest,
Answers
The largest interior angle of the triangle is the angle A
Determining the largest interior angle of the triangleThe side lengths of the triangles are given as
b = 10 cm
a = 14 cm
The other side length is not given
So, we solve the question using the two side lengths
Having said that:
The general rule is that; the higher the side length, the larger the angle
14 cm is greater than 10 cm
This means that the angle A is greater than the angle B
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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
Answers
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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Solve the triangle. Round to the nearest tenth.
Find c aswell
Answers
Answer:
Set your calculator to Degree mode.
a² = 17² + 20² - 2(20)(17)cos(89°)
a² = 677.13236
a = 26.0 in.
sin(89°)/26.02177 = (sin B)/17
sin B = 17sin(89°)/26.02177
B = 40.8°
C = 50.2°
Find the quotient of -36 / -6
Answers
Answer:
6
Step-by-step explanation:
-36/-6 = 6
Answer:
The answer is positive 6.
Step-by-step explanation:
Hope this helps!
/ Solve . Round the answers to the nearest hundredth.
Answers
Answer:
226000
Step-by-step explanation:
225992 is closer to 226000 than 225900
Can anyone show me how to label the kite correctly and answer the question
cause there is a specific order for WXYZ you gotta put in ur kite diagram
Answers
Answer:
115°
Step-by-step explanation:
A kite is symmetrical about the long diagonal, so the angles at the ends of the short diagonal are congruent. The given angles, X and Z, are not congruent, so are at the ends of the long diagonal. The remaining two angles, W and Y, are congruent, and bring the total of all angles to 360°.
90° +40° +2W = 360°
2W = 230° . . . . . . . . . subtract 130°
m∠W = 115°
which solution makes the equation true
6d=8(12-6)
Answers
Answer:
d = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
6d = 8(12 - 6)
Step 2: Solve for d
(Parenthesis) Subtract: 6d = 8(6)Multiply: 6d = 48[Division Property of Equality] Divide 6 on both sides: d = 8Let S be the universal set, wiere:
S= {1, 2, 3, ..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Set A=
= {1, 2, 3, 5, 7, 10, 11, 13, 18, 20}
Set B = {2, 4, 5, 6, 8, 11, 14, 15, 16, 17, 18, 19, 20}
Find the following:
LIST the elements in the set (A U B):
(AU B) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (AN B):
(AN B) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.
Answers
A U B is the set containing all elements from both A and B:
A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20}
A ∩ B is the set containing all elements that are common to both A and B:
A ∩ B = {2, 5, 11, 18, 20}
Question 1 (1 point)
A mail carrier divides 4,830 envelopes into boxes. Each box can hold a maximum of 50 envelopes.
What is the minimum number of boxes the mail carrier must use?
Answers
Answer:
97 boxes
Explanation:
4,830÷50= 96.6
You then have to round 96.6 up and you get 97.
To check your answer:
97×50= 4,850
Even though having 97 boxes leaves more room for envelopes, having 96 boxes will leave all the boxes full with remaining envelopes. 96 boxes isn't enough for 4,830 envelopes.